Recent content by Bosko

  1. Bosko

    I Euclidean geometry and gravity

    Are you claiming that is not? I claiming that is funny :-)
  2. Bosko

    I Euclidean geometry and gravity

    You pick three points and connect them with ( the segments of ) three "straight lines". What is the ( segment of a ) "straight line" between two points in this static space? - a ray of light? - the shortest path? - something else? I think a good and fun way to one better understand your...
  3. Bosko

    A A global energy conservation law in general relativity

    I think that the answer is in the Noether's theorem. That question appears in the early stage after Einstein published the GR theory. https://en.wikipedia.org/wiki/Noether%27s_theorem
  4. Bosko

    I Missing proof of the Shell theorem in General Relativity

    Do you think that for ##r_1 < r_s## the mathematical model does not correctly represent physical reality?
  5. Bosko

    I Missing proof of the Shell theorem in General Relativity

    Two objects of the same mass but different radii.
  6. Bosko

    I Missing proof of the Shell theorem in General Relativity

    Thanks. I put the topic in "Beyond the Standard Models" so as not to violate the forum rules in case someone offers non-standard thinking.
  7. Bosko

    I Missing proof of the Shell theorem in General Relativity

    That's exactly what I thought. Edit: That is valid
  8. Bosko

    I Missing proof of the Shell theorem in General Relativity

    In other words, for any ##r_1## and ##r_2## the solution is the same outside of ##max(r_1,r_2)##. Am I right, even if one of ##r_1## or ##r_2## is smaller than ##r_s## (Schwarzchild radius)
  9. Bosko

    I Missing proof of the Shell theorem in General Relativity

    There is no parameter of a spherically symmetric object in the solution. For example, the radius . The solution does not depend on the size of the object. Let's find some detailed explanation of the formula and see when the radius of the object vanishes . Is this from Wikipedia good for...
  10. Bosko

    I Missing proof of the Shell theorem in General Relativity

    It might be better to ask an equivalent question: Let two spherically symmetric objects of the same mass of radius ##r_1 \lt r_2## be given. Is the spacetime for ##r \gt r_2## the same in both cases? So a larger sphere can be replaced by a smaller ... etc ... arbitrarily smaller ... the point...
  11. Bosko

    I Missing proof of the Shell theorem in General Relativity

    Any. Some are explicit with the point mass as the represent of the spherically symmetric object and other are using the equivalent form in one of the steps in derivation.
  12. Bosko

    I Missing proof of the Shell theorem in General Relativity

    The first part can be derived from the second part . E.g. The array of shells with the same mass and with 1/n radius . By subtracting results of the consecutive elements of the array you can get equivalence with the point mass. Of course it is not the physical object any more but the...
  13. Bosko

    A Understanding the Gravitational Redshift Caused by a Black Hole

    I suggest you start with the formula for wavelength for an observer at infinity. $$\frac { \lambda_\infty} {\lambda_e} = \sqrt { 1- \frac {r_s} {r_e} } $$ where ##r_s## is the Schwarzschild radius
  14. Bosko

    I Missing proof of the Shell theorem in General Relativity

    How then? Is there a point mass?
  15. Bosko

    I Missing proof of the Shell theorem in General Relativity

    In the classical Newtonian theory of gravity, the shell theorem holds. ( https://en.wikipedia.org/wiki/Shell_theorem ) In the beginning of the derivation of the Schwarzschild solution, the spherically symmetric object is replaced by a point mass. The proof that this can be done in curved...